Home
Class 12
MATHS
Find 1/2 (A+A^T) and 1/2(A-A^T) where A=...

Find `1/2 (A+A^T)` and `1/2(A-A^T)` where `A=[[0,a,b],[-a,0,c],[-b,-c,0]]`

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|40 Videos

  • PROBABILITY

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|318 Videos

Similar Questions

Explore conceptually related problems

For matrics A and B, verify that (AB)^T=B^T . A^T , where A=[[0],[1],[2]], B=[[1,5,7]]

IF A=[[2,4,3],[1,0,6],[0,-2,-3]] , Find A^T

Find the matrices A and B if 2A+3B=[[1,2,-1],[0,2,1],[1,2,4]] and A+2B=[[2,0,1],[1,1,2],[3,1,2]]

Find A B , if A=[[0, -1],[ 0 , 2]] and B=[[3 , 5],[ 0, 0]]

A=[[-1,0,2],[4,0,-3]] , B=[[0,2],[-1,3],[0,4]] Find A^T , B^T

A=[[0 , 6 , 7 ],[ -6, 0 , 8 ],[ 7, -8, 0]] , B=[[0, 1 ,1],[ 1 , 0 ,2],[ 1 ,2 ,0]] , C=[[2 ],[ -2],[ 3]] Calculate AC , B C and (A+B) C . Also, verify that (A+B) C=A C+B C

If A =[[1, 2, -3],[ 5, 0, 2],[ 1, -1, 1]], B=[[3, -1, 2],[ 4, 2, 5],[ 2, 0, 3]] and C=[[4 ,1 , 2],[ 0, 3, 2],[ 1, -2, 3]] then compute (A+B) and (B-C) . Also verify that A+(B-C)=(A+B)-C

Find the value of a,b and c from the following equations, [[a-b,2a+c],[2a-b,3c+d]]=[[-1,5],[0,13]]

Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Find AB

If A^T=[[-2,3],[1,2]] and B^T = [[-1,0],[1,2]] then find (A+2B)^T

A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. For the matrixA=[[1,5],[6,7]], verify that A+A^T is a symmetric matr...

    Text Solution

    |

  2. For the matrixA=[[1,5],[6,7]], verify that A-A^T is a skew symmetric...

    Text Solution

    |

  3. Find 1/2 (A+A^T) and 1/2(A-A^T) where A=[[0,a,b],[-a,0,c],[-b,-c,0]]

    Text Solution

    |

  4. Write A=[[3,5],[1,-1]] as the sum of a symmetric and a skew symmetric ...

    Text Solution

    |

  5. Express the following matrices as the sum of a Symmetric and a Skew Sy...

    Text Solution

    |

  6. Express the following matrices as the sum of a Symmetric and a Skew Sy...

    Text Solution

    |

  7. Express the following matrics as the sum of a symmetrics and a skew sy...

    Text Solution

    |

  8. If A,B are symmetric matrices of same order then AB-BA is always a ………...

    Text Solution

    |

  9. If A=[[cos alpha, -sin alpha],[sin alpha, cos alpha]], then A+A^T=I if...

    Text Solution

    |

  10. Find P^(-1), if it exists, given P = [(10,-2),(-5,1)]

    Text Solution

    |

  11. Using elementry transformation, find the inverse of the matrices. Co...

    Text Solution

    |

  12. Using elementary transformation find the inverse of the matrix [[2,1]...

    Text Solution

    |

  13. Using elementry transformation, find the inverse of the matrices. A=...

    Text Solution

    |

  14. Find the inverse of the following using elementary transformations. A=...

    Text Solution

    |

  15. Find the inverse of the following using elementary transformations. A=...

    Text Solution

    |

  16. Find the inverse of the following using elementary transformations. A=...

    Text Solution

    |

  17. Find the inverse of the following using elementary transformations. A=...

    Text Solution

    |

  18. Using elementry transformation, find the inverse of the matrices. A ...

    Text Solution

    |

  19. Using elementry transformation, find the inverse of the matrices. A ...

    Text Solution

    |

  20. Using elementry transformation, find the inverse of the matrices. A ...

    Text Solution

    |